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charle [14.2K]
3 years ago
6

What is the absolute value of Point B labelled on the number line? A number line with point A at coordinate negative 2.2, point

B at coordinate negative 1.6, and point C at coordinate 1.2. Drag and drop the answer into the box to match the correct statement. Number Plotted at Point B a. 1/35 b. 1/15 c. -1/35 d. -1/15 PLZ HURRY
Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

The absolute value of Point B labeled on the number line is 1.6.

Step-by-step explanation:

Data provided in the question

In a number line

A coordinates = -2.2

B coordinates = -1.6

And, C coordinates = 1.2

Now we have to determine the absolute value of point B

Here the absolute value means the real number that contains non-negative value

So if we assume the real number be x

So,

We need to find the absolute value of Point B labelled on the number line.

\vert x \vert= \vert -x\vert = x

\vert - 1.6 \vert = 1.6

So, the absolute value of point B is 1.6

This is the answer but the same is not provided in the given options

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The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

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So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

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